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If `` represents the area of acute angled triangle ABC, then `sqrt(a^2b^2-4^2)+sqrt(b^2c^2-4^2)+sqrt(c^2a^2-4^2)=` `a^2+b^2+c^2` `(a^2+b^2+c^2)/2` `a bcosC+b ccosA+c acosB` `a bsinC+b csinA+c asinB`

A

`a ^(2)+b^(2) +c^(2)`

B

`(a^(2)+ b^(2)+c^(2))/(2)`

C

`ab cos C+ bc cos A + ca cos B`

D

`ab sin C+ bc sin A+ ca sin B`

Text Solution

Verified by Experts

The correct Answer is:
C
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ARIHANT MATHS-PROPERTIES AND SOLUTION OF TRIANGLES -Exercise (More Than One Correct Option Type Questions)
  1. If the area of a triangle is given Delta and angle C is given and if t...

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  2. If represents the area of acute angled triangle ABC, then sqrt(a^2b^2...

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  3. In DeltaABC, the value of c cos (A-theta )+a cos (C+theta)=

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  4. In Delta ABC,If ac =3, bc=4 and (A-B) =3/4, then

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  5. If in DeltaABC, a = 5, b = 4 and cos (A - B) = 31/32, then

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  6. In which of the following situations, it is possible to have a DeltaAB...

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  7. In a triangle ABC, let BC = 1, AC=2 and measure of angle C is 30°. Wh...

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  8. 6. Let one angle of a triangle be 60°, the area of triangle is 10/3 an...

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  9. In a triangle ABC, if a=4,b=8,/C=60^@, then which of the following rel...

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  10. Given an isosceles triangle with equal sides of length b, base angle a...

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  11. There can exist a triangle ABC satisfying the conditions :

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  12. Let a,b,c be the sides of triangl whose perimeter is P and area is A, ...

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  13. If in DeltaABC, A =90^(@) and c, sin B and cos B are rational number, ...

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  14. In Delta ABC, which of the followinhg statemnts are ture

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  15. Let 'l' is the length of median from the vertex A to the side BC of a ...

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  16. If A,A1,A2 and A3 are the areas of the inscribed and escribed circles ...

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  17. If a, b, A be given in a triangle and c1 and c2 be two possible value ...

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  18. D,E and F are the middle points of the sides of the triangle ABC, then

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  19. The sides of A B C satisfy the equation 2a^2+4b^2+c^2=4a b+2a cdot Th...

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  20. If represents the area of acute angled triangle ABC, then sqrt(a^2b^2...

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